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Finding the Fourth Proportional to 37,831, 52,208.40 and 21,064

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Solution

The fourth proportional to 37,831, 52,208.40 and 21,064 is: 29,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831 : 52,208.40 = 21,064 : x
  2. Step 2: Convert to fraction form
    37,831/52,208.40 = 21,064/x
  3. Step 3: Cross multiply
    37,831x = 52,208.40 × 21,064
  4. Step 4: Simplify right side
    37,831x = 1,099,717,737.60
  5. Step 5: Solve for x
    x = 1,099,717,737.60/37,831
  6. Step 6: Final answer
    x = 29,069.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.